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Finding the Fourth Proportional to 853.90, 1,281.16 and 360.43

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Solution

The fourth proportional to 853.90, 1,281.16 and 360.43 is: 540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,281.16 = 360.43 : x
  2. Step 2: Convert to fraction form
    853.90/1,281.16 = 360.43/x
  3. Step 3: Cross multiply
    853.90x = 1,281.16 × 360.43
  4. Step 4: Simplify right side
    853.90x = 461,769.20
  5. Step 5: Solve for x
    x = 461,769.20/853.90
  6. Step 6: Final answer
    x = 540.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.